interpret the equation y= -4x + 10. what type of function does this equation define? describe its graph.

1 answer

The equation y = -4x + 10 defines a linear function. This function has a constant rate of change of -4, meaning that for every 1 unit increase in x, y decreases by 4 units. The y-intercept of the function is 10, where x = 0.

The graph of this function is a straight line that passes through the point (0,10) and has a negative slope, indicating that as x increases, y decreases. The line extends infinitely in both directions.